If 64 is added to a number, the result is 40 less than three times the number. Find the number.

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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Answer: 162%.

Step-by-step explanation:

To find the percentage increase in points, we need to calculate the difference between the two values, divide it by the original value, and then multiply by 100 to get the percentage.

The difference between Patrick's old score and his new score is:

328 - 125 = 203

The percentage increase is:

203/125 x 100% = 162.4%

Rounded to the nearest whole number, the percentage increase is 162%.

Answer:2a-3b

Step-by-step explanation:

collect by terms- 3a -a = 2a

-5b + 2b = -3b

Answer:

2a-3b

Step-by-step explanation:

=3a-5b-a+2b

=2a-5b+2b

=2a-3b

The ratio which is equivalent to 30:20 is option C, 3:2.

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

\(\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}\)

where is a common factor (not 1)? This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly canceled from both the numerator and the denominator.

Thus, a = px, b = qx

We have given that a 2-column table has 2 rows. Column 1 is labeled

The Total with entries 30, and 15. Column 2 is labeled Red with entries 20, and 10.

Given ratio is 30:20

Or

3:2

Therefore, we can conclude that the ratio which is equivalent to 30:20 is option C, 3:2.

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Answer:

58

Step-by-step explanation:

Answer:

try 35?

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Move all the variables to one side and all the numbers to the other side.

0.5y-2*2/5=1/2y+2.4

-2*2/5=1/2y+2.4-0.5y

-2*2/5-2.4=0

thus there is no solution

option A and D have domain and ranges of the entire real number set.

option B has a domain (-a, /infinity)

so the example function with a domain is option C which is:

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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Answer:

r = \(\frac{7}{8}\)

Step-by-step explanation:

the sum to infinity of a geometric progression is

S∞ = \(\frac{a_{1} }{1-r}\) : | r | < 1

where a₁ is the first term and r the common ratio

given S∞ = 8a₁ , then

\(\frac{a_{1} }{1-r}\) = 8a₁ ( multiply both sides by 1 - r )

\(a_{1}\) = 8a₁(1 - r) ( divide both sides by 8a₁ )

\(\frac{a_{1} }{8a_{1} }\) = 1 - r

\(\frac{1}{8}\) = 1 - r ( subtract 1 from both sides )

\(\frac{1}{8}\) - 1 = - r

\(\frac{1}{8}\) - \(\frac{8}{8}\) = - r

- \(\frac{7}{8}\) = - r ( multiply both sides by - 1 ) , then

r = \(\frac{7}{8}\)

Answer: C) (1, -1)

Step-by-step explanation:

\(\boldsymbol{\sf{\underline{\diamond System \ of \ equations \ by \ the \ reduction \ method:} }}\)

   \(\boldsymbol{\sf{We\:have\:the\:system\:of\:equations \ --\to \ \left \{ {{x+2y=1 \ } \atop {2x-3y=5 }} \right. }}\)

Multiply the first equation by 2, and the second equation by -1, then both equations must be added.

             \(\boldsymbol{\sf{\star \ 2(x+2y=-1) }}\\ \boldsymbol{\sf{\star -1(2x-3y=5) }}\)

We add these equations to eliminate x.

             \(\boldsymbol{\sf{\star \ 7y=-7 }}\)

Then we solve 7y=-7 for y (divide by 7).

               \(\boldsymbol{\sf{\star \ \dfrac{7y}{7}=\dfrac{-7}{7} }}\\ \\ \boxed{\boldsymbol{\sf{\star \ y=-1}}}\)

We place the found value of y, in one of the original equations y to solve for x.

                  \(\boldsymbol{\sf{\star \ x+2y=-1}} \\ \\ \boldsymbol{\sf{\star \ x+2(-1)=-1}}\\ \\ \boldsymbol{\sf{\star \ 0=-x+1 }}\)

Simplify (We add x to both sides.)

                  \(\boldsymbol{\sf{\star \ 0+(x)=-x+1+(x) }}\\ \\ \boldsymbol{\sf{\star \ x=1}}\\ \\ \boldsymbol{\sf{\star -2=-1-x}}\)

Add (2) to both sides.

                   \(\boldsymbol{\sf{\star \ -2+(2)=-x-1+(2) }}\\ \\ \boldsymbol{\sf{\star \ 0=-x+1 }}\)

We divide by 1.

                      \(\boldsymbol{\sf{\star \ \dfrac{x}{1}=\dfrac{1}{1} }}\\ \\ \boxed{\boldsymbol{\sf{\star \ x=1}}}\)

                                     \(\underline{\bf{ \ \ x,y \ answer\ \ \ \ }}\\\boxed{\boldsymbol{\sf{x=1,y=-1 }}}\)

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Answer:

200 + X

Step-by-step explanation:

Answer:

Becky is 7 years old.

Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.

Answer:

Becky's 7 seven years old

Step-by-step explanation:

If 21 = 3x

x = 21/3

x = 7

Hope this helps :)

Pls brainliest...

y=0.625x+1.75 is the equation for your problem.

Answer:m∠BCA = m∠CAB = 63.43°. The measurements for the two base angles are equal.

Step-by-step explanation: I did it trust me

Answer:

m∠BCA = m∠CAB = 63.43°. The measurements for the two base angles are equal.

Step-by-step explanation:

plato

Answer:

this one i dont know but ill try

a or 1 2744 cubed

Step-by-step explanation:

Given:

Base area = 196π cm²

Height of cylinder = diameter of base

To find:

Volume of cylinder

Steps:

First lets find the radius of cylinder,

Base area = πr²

        196π = πr²

          196 = r²                    (pi gets canceled)

            14 = r

Radius of cylinder is 14 cm

So, diameter of cylinder is 28 cm             (d= 2r = 2 * 14 = 28)

Therefore height of cylinder is 28 cm

Now lets find the volume of cylinder,

Volume of cylinder = Base area × height

= 196π × 28

= 5488π

= 5488 × π

= 17,241.1 cm cube

Therefore the volume of the cylinder is 17,241.1 cm³

Happy to help :)

If u didn't understand any topic, pls feel free to ask

(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²

= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)

= p ⁻¹⁶ q ⁻²⁰

number line with open circle on point negative 5 and arrow shaded to the right is the right description for the graph of the inequality.

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

let the number be x

so that 2.5 > -0.5x

dividing through by -0.5 we revert the inequality sign

2.5/-0.5 < x

-5 < x

Taking x to the other side we revert the inequality sign back to greater than

x > -5

In conclusion, number line with open circle on point negative 5 and arrow shaded to the right is the description of the graph

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Answer: D

Step-by-step explanation: I have proof! i got it right on test and i have a picture.

You would get 23p as change from £1 if you spent 77p.

To find how much change you would get from £1 if you spent 77p, you need to subtract the amount you spent from the total amount you have.

Total amount = £1

Amount spent = 77p

To find the change, we need to convert both amounts to the same unit (pence) before performing the subtraction.

1 pound (£1) is equal to 100 pence, so:

Total amount = 100p

Amount spent = 77p

Now, subtract the amount spent from the total amount to find the change:

Change = Total amount - Amount spent

Change = 100p - 77p

Change = 23p

So, you would get 23p as change from £1 if you spent 77p.

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The solution of x in the inequality is x > 2

The inequality is given as:

5x + one third(3x + 6) > 14

Rewrite properly as:

5x + 1/3(3x + 6) > 14

Open the brackets

5x + x + 2 > 14

Subtract 2 from both sides of the inequality

5x + x + 2 - 2> 14 - 2

Evaluate the difference

5x + x > 12

Evaluate the like terms

6x > 12

Divide both sides of the inequality by 2

x > 2

Hence, the solution of x in the inequality is x > 2

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Answer:

x > 2, like the other guy said

Step-by-step explanation:

I hope this helps

Answer:

I’m sorry but I don’t understand the question

Step-by-step explanation:

twice the difference of twenty and y

Difference means subtraction:

difference of twenty and y = (20-y)

Twice means multiply by 2 (that difference)

2 (20-y)

Answer:

D.) QS ≅ NR

Step-by-step explanation:

Congruency between QS and NR can be assumed because the angles they make at points T and U are both right angles and the 6.7 seems to be indicating the same length of the lines (?)

Nonetheless, they look to be about equal in size and angle, so D.) QS ≅ NR is your best answer.

The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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Answer:

73/6= h

His hourly wage was about $12.17

5% of 476 =0.05*476

1) If the tips were left from the cost of dinner including sale taxes

15 % tips would be (476+0.05*476)*0.15.

2) If tips would be left only from the cost of the dinner it would be

0.15*476

Total cost = cost of dinner +tax+tips

Sales growth affects cash flow in two ways: through the growth effect and through the impact on management's choice of how to handle it. Growth in sales affects all other revenue-generating activities that appear on the organization's balance sheet or income statement.

1)    for the case when tips left from the sum of cost of the dinner and taxes

total cost = 476 +0.05*476 +  (476+0.05*476)*0.15=574.77

2) for case when tips left only from the cost of the dinner

total cost = 476 +0.05*476 +0.15*476 = 571.20

Sales growth has an impact on cash flow in two ways: directly through the growth effect and indirectly through the management's decision-making process. Sales growth has an impact on all other revenue-generating activities that are shown on the balance sheet or income statement of the company.

Dinner cost plus taxes and tips equals the total cost.

1) For the case where taxes and the cost of the meal plus tips are subtracted

$574.77 ($476 + 0.05*476 + (476 + 0.05*476)*0.15) is the total price.

2) if only the dinner tab was taken from the tips

Total cost: 571.20 ($476 + 0.05 * 476 + 0.15 * 476).

Normally, taxes and tips are subtracted from the total amount, so perhaps you should choose Option 1).

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After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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Average rate of change: slope

First, we have to calculate the y values, from the x values given:

x1=4

Replace on the function:

f(x)= 10 (2)^x/4

f(4)= 10 (2)^4/4

f(4)= 10 (2)^1

f(4)= 10 (2)

f(4)= 20

y1= 20

x2=12

f(12)=10 (2)^12/4

f(12)= 10 (2) ^3

f(12)= 10 (8)

f(12)= 80

y2= 80

Apply the slope formula:

Replace:

rate of change : 8.75

Hey there!

The formula to find the perimeter of a rectangle is "P=2(l+w)".

Hope this helps!

Have a great day! :)

Answer:

formula to find the perimeter of rectangle is

hope it helps

stay safe healthy and happy.

the solutions to the equation have value of a=-4, b=1 and c=38.

In mathematics, factorization is the process of finding the factors of a given mathematical object, such as a number, polynomial, or matrix. Factors are objects that can be multiplied together to obtain the original object.

To solve the equation x² + 8x = 38 for x, we can use the following steps:

Move the constant term to the other side of the equation:

x² + 8x - 38 = 0

x=(-b±√b²-4ac)/2a

x=(-8±√64-4×1×(-38))/2×1

x=-4+√38

or x=-4-√38

On comparing with x= a+ b √c

x= a- b √c

value of a=-4

b=1

c=38

Therefore,  value of a=-4, b=1 and c=38.

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